Weight is a function of the distance from sea level. Learners explore the many implications of this fact in an inquiry-based task. Given the function, pupils answer questions before manipulating the function to rewrite the distance...

The values keep getting smaller—quickly! Pupils watch a video that contrasts exponential decay with exponential growth from the first lesson in the unit. Learners identify exponential functions that are decaying and create graphs of...

This unit assessment covers the modeling process with linear, quadratic, exponential, and absolute value functions. The modeling is represented as verbal descriptions, tables, graphs, and algebraic expressions. 

Don't leave this task on the shelf — use it is assess middle schoolers understanding of patterns. Participants try to discover a pattern in the number of bricks and planks used to make shelves. They then match descriptions...

Augment a unit on parabolas with an instructive math activity. Pupils graph parabolas by examining the relationship between the focus and directrix. 

Scholars read and interpret a graph relating bacterial growth in a culture over time. They apply knowledge of derivatives, estimation, and graphing to the skill practice questions.

Help your class discover possible patterns in a sequence of numbers and then write an equation with a lesson plan that covers sequence notation and function notation. Graphs are used to represent the number patterns.

Math's gone viral—in the form of an exponential function! The activity uses an exponential function to model the growth of a marketing strategy. Learners create a table of values to observe the pattern in the numbers and then model the...

How many cups does it take to reach the top? Learners attempt to answer this through a series of questions. They collect dimension information and apply it to creating a function. The lesson encourages various solution methods and...

As part of an investigation of transformations of exponential functions, class members use Newton's Law of Cooling as an exponential model to determine temperature based on varying aspects. The resource makes comparisons between...

Two-variable equations can express a constant rate situation. The lesson presents several constant rate problems. Pupils use the stated constant rate to create a linear equation, find values in a table, and graph the points. The resource...

The midline of the mathematical model of the number of hours of sunlight is not 12 hours. Pupils use the modeling cycle to determine a function that will model the number of hours of sunlight at a location of their choosing. Using...

The structure of an expression is a descriptive feature. Learners build a solid understanding of quadratic functions using an analysis of expressions in different forms. The seventh module in a series of nine includes 12 lessons...

Seventh graders identify the use of a function.They are asked to describe the input and output of a function. Students also identify different aspects of the coordinate system and represent functions in a visual graph.

Students explore polynomial functions.  In this Algebra II lesson, students explore graphs of polynomial functions as classify the functions as linear, quadratic, cubic, or quartic.  Students determine the regression equation...

In this function worksheet, students observe graphs and determine if the function of the graph is odd or even. They find the inverse of a function and determine the horizontal asymptote of a function. This four-page worksheet contains...

In this functions learning exercise, 11th graders solve and complete 18 different problems. First, they graph each equation on the graphs provided, making a rough sketch on a coordinate plane. Then, students predict what each graph will...

In this Algebra II activity, 11th graders examine the graphs of rational functions, identifying the points of discontinuity and the vertical and horizontal asymptotes.  The three page activity contains explanation of topic, several...

For this function worksheet, students discuss how a function would change if it shifted on a graph. They create ten new, related functions. Students identify odd, even and symmetric functions. This two-page worksheet contains...

Students discover for which kind of linear function is appropriate to use the "scatter" or the "connected" term. In this lesson, students investigate functions using variables, patterns book, graph paper, rulers and the graphit program.

In this algebra worksheet, students tell how they would find the domain of a rational function. They find the intercepts of a rational function and graph it. Students test for symmetry, locate the asymptotes and determine where the graph...

In this Algebra II worksheet, 11th graders identify the domain and range of a relation and determine if the given relation is a function.  The three page worksheet contains explanation and eighteen practice problems.  Answers...

Fifth graders complete an integer graphing activity. In this integer graphing lesson plan, 5th graders use coordinate grids to help them complete linear functions and integer graphing.

Students are introduced to the concept of linear functions. Using new terminology, they describe linear functions in sentences and in data tables. Using the internet, they calculate and record answers to problems which are discussed...